ON OPIALS INEQUALITY FOR F(N)

被引：14

作者：

FINK, AM

机构：

来源：

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | 1992年 / 115卷 / 01期

关键词：

OPIALS INEQUALITY;

D O I：

10.2307/2159583

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We prove inequalities of the type integral-0/h\f(i)(x)f(j)(x)\dx less-than-or-equal-to C(n, i, j, p)h2n - i - j + 1 - 2/p(integral-0/h\f(n)(x)\p dx)2/p when f(0) = f'(0) = ... = f(n - 1)(0) = 0. We assume that f(n-1) is absolutely continuous and f(n) is-an-element-of L(p)(0, h), with p greater-than-or-equal-to 1, n greater-than-or-equal-to 2, and 0 less-than-or-equal-to i less-than-or-equal-to j less-than-or-equal-to n - 1.

引用

页码：177 / 181

页数：5